Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 105, 202, 576, 432 i.e. 1 largest integer that divides all the numbers equally.
GCD of 105, 202, 576, 432 is 1
GCD(105, 202, 576, 432) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 105, 202, 576, 432 is 1
GCD(105, 202, 576, 432) = 1
Given Input numbers are 105, 202, 576, 432
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Greatest Common Divisior
We found the divisors of 105, 202, 576, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 202, 576, 432 is 1.
Therefore, GCD of numbers 105, 202, 576, 432 is 1
Given Input Data is 105, 202, 576, 432
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 202 is 2 x 101
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(105, 202) = 21210
GCD(105, 202) = ( 105 x 202 ) / 21210
GCD(105, 202) = 21210 / 21210
GCD(105, 202) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 576
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 576) = 576
GCD(1, 576) = ( 1 x 576 ) / 576
GCD(1, 576) = 576 / 576
GCD(1, 576) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
GCD(1, 432) = 432 / 432
GCD(1, 432) = 1
GCD of 105, 202, 576, 432 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 105, 202, 576, 432?
GCD of 105, 202, 576, 432 is 1
2. Where do I get the detailed procedure to find GCD of 105, 202, 576, 432?
You can find a detailed procedure to find GCD of 105, 202, 576, 432 on our page.
3. How to find GCD of 105, 202, 576, 432 on a calculator?
You can find the GCD of 105, 202, 576, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.